﻿ List of 8th Grade Math Skills

# 8th Grade Skills in Math

The 8th Grade Skills below are based on the Common Core Standards For Mathematics. You can find out more about the Common Core Standards here.

You will also find a listing of related math resources (worksheets, charts, etc) here.

Note: Math standards and curricula can vary by location or school. Check with your child’s school to determine what 8th grade math skills are expected in your location.

## The Number System

Understanding that all numbers have a decimal expansion and, for rational numbers, showing that this expansion repeats.

Using rational approximations to compare irrational numbers and being about to position these on a number line.

## Expressions & Equations

Knowing and using exponent rules. e.g. 45 x 4-3 = 42

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Solving equations by using the square and cubic root symbols and know square roots for perfect squares.

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Using and understanding scientific notation. e.g. 5 x 109

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Adding, subtracting, multiplying, and dividing with numbers shown in scientific notation and use appropriate units for both very large and very small quantities.

Understanding and drawing graphical representations of proportional relationships recognizing that the slope shows the unit rate.

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Explaining slope and determining the equation, y =mx for a line that intersects the origin and determining the equation y = mx + c for one which intersects the y-axis at c.

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Solving linear equations in one variable.

Solving simultaneous linear equations.

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## Functions

Recognizing functions as rules that maps each output from exactly one input.

Comparing and contrasting two functions both shown in different ways (graphic, tabular, algebraic) e.g. be able to tell which one shows a greater rate of change.

Identifying and distinguishing between equations that define linear functions and those that define non-linear functions. e.g. y = mx + a is linear and H = r2 is non-linear.

Generating functions to represent linear relationships between two quantities.

Describing the characteristics of a functional relationship by examining its graphical representation.

## Geometry

Experimenting to confirm the properties of translations, rotations, and reflections.

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Identifying the congruence of two figures and the sequence of transformations that connects them.

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Expressing the changes caused by dilations, translations, rotations, and reflections with the coordinate system.

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Understanding similarity of triangles and other 2-D figures e.g. how similar figures can be generated through a series of transformations.

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Establishing facts about the sum of angles in a triangle and its exterior angles.

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Describing a proof for Pythagoras' Theorem.

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Using Pythagoras' Theorem to find unknown dimensions in right-angled triangles.

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Using Pythagoras' Theorem to find the distance between two sets of coordinates.

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Recalling and using the formulas for volume of 3-D objects. e.g. cylinders, cones, spheres.

## Statistics & Probability

Generating and analyzing scatter plots for bivariate measurement data to determine patterns of association. e.g. clustering, outliers, linear, and non-linear association.

Using "best fit" straight lines to identify linear association on scatter plots.

Solving bivariate measurement data problems using the equation of a linear model.

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Understanding that a 2-way table can list frequency and relative frequency to show patterns of association for bivariate categorical data.

Browse for skills and worksheets at other grade levels by clicking in the table below.